Equation of a line when a point n slope are given

With the help of activity in screen 5, we have learnt that: 1. We will get a unique line when one point through which it passes and its slope are given. Moreover, the equation of this line will be \(y - y_1 = m (x - x_1)\) where m is slope of the line and \(x_1\), \(y_1\) are the co-ordinates of the point through which this line passes. (Slope = \(tan\alpha \) where α is the angle between the line and positive x axis.) 2. To get a unique line we need two conditions. If only a point through which the line passes is given then we will get an infinite number of lines and same will be the case if only slope of the line is known

 

Mathguru

 
Resource Type
Activity
Tags
line  point  slope 
Target Group (Age)
15 – 18
Language
English (United Kingdom)
 
 
GeoGebra version
4.0
Views
1144
Report a problem
 
 
© 2018 International GeoGebra Institute